Self-adjointness of unbounded time operators

IF 1.4 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-08-20 DOI:10.1007/s11005-025-01981-6

Fumio Hiroshima, Noriaki Teranishi

引用次数: 0

Abstract

Time operators associated with an abstract semi-bounded self-adjoint operator H possessing a purely discrete spectrum are considered. The existence of a bounded self-adjoint time operator T for such an operator H is known as the Galapon time operator. In this paper, we construct a self-adjoint but unbounded time operator T for H with a dense CCR-domain, thereby extending the framework beyond the bounded setting.

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无界时间算子的自伴性

考虑具有纯离散谱的抽象半有界自伴随算子H的时间算子。对于这样的算子H，有界自伴随时间算子T的存在性称为Galapon时间算子。本文构造了H具有密集ccr域的自伴随无界时间算子T，从而将框架扩展到有界设置之外。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

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